Stabilization of Heegaard splittings
- Author(s): Hass, Joel;
- Thompson, Abigail;
- Thurston, William
- et al.
Published Web Locationhttps://arxiv.org/pdf/0802.2145.pdf
For each g greater than one there is a 3-manifold with two genus g Heegaard splittings that require g stabilizations to become equivalent. Previously known examples required at most one stabilization. Control of families of Heegaard surfaces is obtained through a deformation to harmonic maps.